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Finding the Fourth Proportional to 37,414.43, 51,633 and 20,419.76

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Solution

The fourth proportional to 37,414.43, 51,633 and 20,419.76 is: 28,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.43 : 51,633 = 20,419.76 : x
  2. Step 2: Convert to fraction form
    37,414.43/51,633 = 20,419.76/x
  3. Step 3: Cross multiply
    37,414.43x = 51,633 × 20,419.76
  4. Step 4: Simplify right side
    37,414.43x = 1,054,333,597.16
  5. Step 5: Solve for x
    x = 1,054,333,597.16/37,414.43
  6. Step 6: Final answer
    x = 28,179.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.